Issue 17, 2022

Universal non-Debye low-frequency vibrations in sheared amorphous solids

Abstract

We study energy minimised configurations of amorphous solids with a simple shear degree of freedom. We show that the low-frequency regime of the vibrational density of states of structural glass formers is crucially sensitive to the macroscopic stress of the sampled configurations. In both two and three dimensions, shear-stabilised configurations display a D(ωmin) ∼ ω5min regime, as opposed to the ω4min regime observed under unstrained conditions. In order to isolate the source of these deviations from crystalline behaviour, we also study configurations of two dimensional, strained amorphous solids close to a plastic event. We show that the minimum eigenvalue distribution at a strain ‘γ’ near the plastic event occurring at ‘γP’ assumes a universal form that displays a collapse when scaled by Image ID:d2sm00218c-t1.gif, and with the number of particles as N−0.22. Notably, at low frequencies, this scaled distribution displays a robust D(ωmin) ∼ ω6min power-law regime, which survives in the large N limit. Finally, we probe the properties of these configurations through a characterisation of the second and third eigenvalues of the Hessian matrix near a plastic event.

Graphical abstract: Universal non-Debye low-frequency vibrations in sheared amorphous solids

Supplementary files

Article information

Article type
Paper
Submitted
12 Feb 2022
Accepted
04 Apr 2022
First published
13 Apr 2022

Soft Matter, 2022,18, 3395-3402

Universal non-Debye low-frequency vibrations in sheared amorphous solids

V. V. Krishnan, K. Ramola and S. Karmakar, Soft Matter, 2022, 18, 3395 DOI: 10.1039/D2SM00218C

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